Graphing Simple Inequalities After watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs.
In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
3.2:
Summarize what we did in class today. Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<=3 as graphed on a number line and x<=3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.
Answer:
To graph x>5 in a number line you have to put an open circle becuase it is not grater than or equal to. If i would graph in a coordinate plne, i would go to the x axis and draw an horizontal and dotted line because it is not equal to.
3.3:(Looking at graph on page 113) Write the inequality whose graph is shown. Explain every step of your thinking and how you came up with the inequality
Answer: The inequality is y = 10x+4. I came up with it when i look at the line and I go up four to the y axis and i went down 10 for the x axis.
3.4:
Looking at the shaded graph in the document below, you need to identify a point that is a solution to the system and explain how you know it is a solution by looking at the graph. Also, identify a point that is a solution to only one of the inequalities, but NOT a solution to the system. Explain how you might test a point to determine whether it is a solution to the system or not?
Unit 3: Inequalities
3.1:
Graphing Simple InequalitiesAfter watching the video above on graphing, you need to match the inequality statements below in the document below with their corresponding graphs.
3.1 wikispace journal.doc
In your wikispace journal, explain your entire thought process (from your first match to your last) and how you narrowed down the choices and knew which graph matched which inequality statement.
Answer:
3.2:
Summarize what we did in class today. Explain what similar features are shown in the graph x>5 as you would graph it on a number line and x>5 as you would graph it on a coordinate plane. Also explain the similarities of x<=3 as graphed on a number line and x<=3 on a coordinate plane. Explain how this same thinking applies to y<2x+1 ?? How do you know which side of the line should be shaded since the line is slanted? Be sure to explain the short-cut method as well as the algebraic method you could use to prove that the correct side of the line has been shaded.Answer:
To graph x>5 in a number line you have to put an open circle becuase it is not grater than or equal to. If i would graph in a coordinate plne, i would go to the x axis and draw an horizontal and dotted line because it is not equal to.
3.3: (Looking at graph on page 113) Write the inequality whose graph is shown. Explain every step of your thinking and how you came up with the inequality
Answer:
The inequality is y = 10x+4. I came up with it when i look at the line and I go up four to the y axis and i went down 10 for the x axis.
3.4:
Looking at the shaded graph in the document below, you need to identify a point that is a solution to the system and explain how you know it is a solution by looking at the graph. Also, identify a point that is a solution to only one of the inequalities, but NOT a solution to the system. Explain how you might test a point to determine whether it is a solution to the system or not?
Answer: